Question

A particle moves on x-y plane according to the equations x = a cos (wt), y = b sin (wt).

1 - Show that its trajectory is an ellipse?

2 - Calculate the values of its velocity v(t) = |v(t)| and acceleration a(t) = |a(t)| ?

3 - What are the maximal and minimal values of v(t) and a(t) ?

r(9) sin φ

I think for the first part the answer is as the following image. Please correct me if my answer is not right.

2 2. on

  

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